Today the fundamentals of solid mechanics may be explained by numerical experiments using the finite element method. The explanation is detailed in this book using many examples. After a short review of how the finite element method works, Chapter 2 develops some key points of solid mechanics. Chapter 3 focuses on stress concentrations and stress singularities. Chapter 4 is devoted to plate modeling. Chapter 5 provides a short presentation of the dynamics of structures with a particular focus on the modal method, the influence of local defaults on the modal response is also analyzed. Commercial software (Ansys) is used to study the examples.
Alain Berlioz is a Professor at Toulouse University. He teaches solid mechanics courses (strength of materials, finite elements) in several engineering departments. His research activities are related to the stability of dynamic systems. Philippe Trompette has been a Professor at several engineering schools in France (Lyon and Grenoble Universities). He has developed applications for the finite element method in many engineering fields (aeronautics, civil engineering, sport materials).